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Finding the Third Proportional to 443,355 and 922,092

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Solution

The third proportional to 443,355 and 922,092 is: 1,917,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,355 : 922,092 = 922,092 : x
  2. Step 2: Convert to fraction form
    443,355/922,092 = 922,092/x
  3. Step 3: Cross multiply
    443,355x = 922,092 × 922,092
  4. Step 4: Simplify right side
    443,355x = 850,253,656,464
  5. Step 5: Solve for x
    x = 850,253,656,464/443,355
  6. Step 6: Final answer
    x = 1,917,771.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.